Base | Representation |
---|---|
bin | 101111100011011101… |
… | …0010110110101000000 |
3 | 100202121000111101012100 |
4 | 1133012322112311000 |
5 | 3133121041400212 |
6 | 114525224430400 |
7 | 10243443604353 |
oct | 1370672266500 |
9 | 322530441170 |
10 | 102121434432 |
11 | 3a3449841a6 |
12 | 17960318400 |
13 | 98261938a4 |
14 | 4d2aaca29a |
15 | 29ca5d7bdc |
hex | 17c6e96d40 |
102121434432 has 84 divisors (see below), whose sum is σ = 292902985440. Its totient is φ = 34018344192.
The previous prime is 102121434431. The next prime is 102121434433. The reversal of 102121434432 is 234434121201.
102121434432 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 214 + 3 + 443 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (102121434431) and next prime (102121434433).
It is a junction number, because it is equal to n+sod(n) for n = 102121434396 and 102121434405.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102121434431) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841123 + ... + 954845.
Almost surely, 2102121434432 is an apocalyptic number.
102121434432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102121434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146451492720).
102121434432 is an abundant number, since it is smaller than the sum of its proper divisors (190781551008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102121434432 is a wasteful number, since it uses less digits than its factorization.
102121434432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 115300 (or 115287 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
Adding to 102121434432 its reverse (234434121201), we get a palindrome (336555555633).
The spelling of 102121434432 in words is "one hundred two billion, one hundred twenty-one million, four hundred thirty-four thousand, four hundred thirty-two".
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